SOLUTION: find two consecutive odd integer such that 65 more than the lesser is four times the greater

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Question 995785: find two consecutive odd integer such that 65 more than the lesser is four times the greater
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the consecutive odd integers be
+n+ and +n%2B+2+
given:
+n+%2B+65+=+4%2A%28+n+%2B+2+%29+
----------------------
+n+%2B+65+=+4n+%2B+8+
+3n+=+57+
+n+=+19+
and
+n+%2B+2+=+21+
----------------
The consecutive odd integers are 19 and 21
check:
+n+%2B+65+=+4%2A%28+n+%2B+2+%29+
+19+%2B+65+=+4%2A%28+19+%2B+2+%29+
+84+=+4%2A21+
+84+=+84+
OK